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LCM of 382, 281, 133, 171

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 382, 281, 133, 171 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 382, 281, 133, 171. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 382,281,133,171

Given numbers are 382,281,133,171

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 382,281,133,171 is 128488374.

Find LCM of 382,281,133,171 with Prime Factorization


19 382, 281, 133, 171
382, 281, 7, 9

Multiply the prime numbers at the bottom and the left side.

19 x 382 x 281 x 7 x 9 = 128488374

Therefore, the lowest common multiple of 382,281,133,171 is 128488374.

LCM Formula to Find Lowest Common Multiple of 382,281,133,171

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

382 x 281 x 133 x 171 = 2441279106

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

382 : 1, 2, 191, 382

281 : 1, 281

133 : 1, 7, 19, 133

171 : 1, 3, 9, 19, 57, 171

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,281,133,171, is 1.

Now, the common factors can be found like this.

382:2x 191

281:281

133:7x 19

171:3x 3x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

19 = 19

Therefore, the value for common factors is 19.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 2441279106/(1x19)

LCM = 2441279106/19

LCM = 128488374

Thus, we can understand that the LCM of 382,281,133,171 is 128488374.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 382, 281, 133, 171

1. What is the LCM of 382, 281, 133, 171?

Answer: LCM of 382, 281, 133, 171 is 128488374.

2. How to calculate the LCM of 382, 281, 133, 171?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 382, 281, 133, 171.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.